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# 凡得瓦方程式..請幫忙解題一下....

show hoe the van der Waals equation could be simplified to

the ideal gas law under these condition

(hint: the van der Waals equation is (P+a*(n/V)2)(V-nb)=nRT. one could express the van der Waals equation in form of PV/nRT)

我大概知道題目問什麼.但不知如何解題..請各位幫幫忙唄**

@@......

多謝囉 ^ ^ˊ

### 2 Answers

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- 1 decade agoFavorite Answer
V/n=V*

(P a/V*^2)(V*-b)=RT

P(V*-b)=RT+a/V*(b/V*-1)

P=(RT/V*-b) - (a/V*^2)

PV*= (RT/(1-b/V*))-a/V* 套用等比級數公式

= RT(1+b/V*+...)-a/V*

PV*/RT=(1+b/V*+...)-(a/V*)/RT

via Virial Equation

PV*=RT(1+B/V*+C/V*^2+...)

PV*/RT=(1+B/V*+C/V*^2+...)

壓縮因子Z=1+B/V*+C/V*^2+...

只取前兩項可求B=b-a/RT

可求Boyle Temperature

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